Chapter 2: Q32. (page 86)

Write an equation in slope-intercept form that satisfies each set of conditions.
32. Passes through $(5, - 3) a n d (- 2, 0)$

Short Answer

Expert verified

The equation of line is $y = - \frac{3}{7} x - \frac{6}{7}$ .

Step by step solution

Step-1 – Slope of a line and point slope form.

The slope of the line is $s l o p e = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

The point slope form is $y - y_{1} = m (x - x_{1})$ where m is the slope of the line.

Step-2 – Calculate the slope.

Substitute $(x_{1}, y_{1}) = (5, - 3) a n d (x_{2}, y_{2}) = (- 2, 0)$ into the formula $s l o p e = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\begin{array}{l} m = \frac{0 - (- 3)}{- 2 - 5} \\ m = \frac{3}{- 7} \\ m = - \frac{3}{7} \end{array}$

Step-3 – Make the equation.

Substitute $(x_{1}, y_{1}) = (5, - 3) a n d m = - \frac{3}{7}$ into $y - y_{1} = m (x - x_{1})$ .

$\begin{array}{l} y - (- 3) = - \frac{3}{7} (x - 5) \\ y + 3 = - \frac{3}{7} x + \frac{15}{7} \\ y = - \frac{3}{7} x - \frac{6}{7} \end{array}$

The equation of line is $y = - \frac{3}{7} x - \frac{6}{7}$ .

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Write an equation in slope-intercept form that satisfies each set of conditions.
32. Passes through $(5, - 3) a n d (- 2, 0)$

Short Answer

Step by step solution

Step-1 – Slope of a line and point slope form.

Step-2 – Calculate the slope.

Step-3 – Make the equation.

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Write an equation in slope-intercept form that satisfies each set of conditions.32. Passes through 5,-3 and -2,0

Short Answer

Step by step solution

Step-1 – Slope of a line and point slope form.

Step-2 – Calculate the slope.

Step-3 – Make the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Geometry

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form that satisfies each set of conditions.
32. Passes through $(5, - 3) a n d (- 2, 0)$